ผลต่างระหว่างรุ่นของ "พูดคุย:Proof Hypercube 1"

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(Reverted edit of 140.128.20.205, changed back to last version by Jung)
 
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  A more rigorous proof can also be achieved by considering other halfspaces and argue that it contains at least one of <math>h_i</math>.
 
  A more rigorous proof can also be achieved by considering other halfspaces and argue that it contains at least one of <math>h_i</math>.
  
: Is the word '''contain''' ambiguous?? I can see all the points <math>x</math> satisfying <math>x_i < 0.5, \forall i</math> lie below any other halfspace. But I think none of <math>h_i</math> is ''completely'' contained in an other halfspace.
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: Is the word '''contain''' ambiguous?? I can see all the points <math>x</math> satisfying <math>x_i < 0.5, \forall i</math> lie below any other halfspace. But I think none of a hyperplane <math>h_i</math> is ''completely'' contained in an other halfspace.

รุ่นแก้ไขปัจจุบันเมื่อ 08:39, 28 ตุลาคม 2550

You say:

A more rigorous proof can also be achieved by considering other halfspaces and argue that it contains at least one of .
Is the word contain ambiguous?? I can see all the points satisfying lie below any other halfspace. But I think none of a hyperplane is completely contained in an other halfspace.